7601465640 has 128 divisors (see below), whose sum is σ = 23356460160. Its totient is φ = 1978389504.

The previous prime is 7601465621. The next prime is 7601465647. The reversal of 7601465640 is 465641067.

It is a super-2 number, since 2×7601465640² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7601465647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1249887 + ... + 1255953.

It is an arithmetic number, because the mean of its divisors is an integer number (182472345).

Almost surely, 2^7601465640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7601465640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11678230080).

7601465640 is an abundant number, since it is smaller than the sum of its proper divisors (15754994520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7601465640 is a wasteful number, since it uses less digits than its factorization.

7601465640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6327 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 7601465640 is about 87186.3844874875. The cubic root of 7601465640 is about 1966.2215222845.

The spelling of 7601465640 in words is "seven billion, six hundred one million, four hundred sixty-five thousand, six hundred forty".